449409614977920 has 128 divisors (see below), whose sum is σ = 1432504110810240. Its totient is φ = 119841646823424.

The previous prime is 449409614977901. The next prime is 449409614977957. The reversal of 449409614977920 is 29779416904944.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×449409614977920⁴ (a number of 60 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271636719 + ... + 273286161.

It is an arithmetic number, because the mean of its divisors is an integer number (11191438365705).

Almost surely, 2^{449409614977920} is an apocalyptic number.

449409614977920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449409614977920 is an abundant number, since it is smaller than the sum of its proper divisors (983094495832320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449409614977920 is a wasteful number, since it uses less digits than its factorization.

449409614977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791372 (or 1791360 counting only the distinct ones).

The product of its (nonzero) digits is 987614208, while the sum is 75.

The spelling of 449409614977920 in words is "four hundred forty-nine trillion, four hundred nine billion, six hundred fourteen million, nine hundred seventy-seven thousand, nine hundred twenty".